Domain of 6/x: Determining Valid Input Values for a Fraction

Question

Select the the domain of the following fraction:

$\frac{6}{x}$

Video Solution

Solution Steps

00:00 Find the domain of substitution

00:03 Domain of substitution exists, to ensure we don't divide by 0

00:06 Meaning the denominator in the fraction must be different from 0

00:09 We will use this formula in our exercise

00:14 X must be different from 0, to avoid dividing by 0

00:17 Therefore this is the domain of substitution

00:20 And this is the solution to the question

Step-by-Step Solution

The domain of a fraction depends on the denominator.

Since you cannot divide by zero, the denominator of a fraction cannot equal zero.

Therefore, for the fraction $\frac{6}{x}$ , the domain is "All numbers except 0," since the denominator cannot equal zero.

In other words, the domain is:

$x\ne0$

Answer

All numbers except 0

Related Subjects

Question Types

Domain: Identifying and defining elements